English

Concavity, Abel-transform and the Abel-inverse theorem in smooth complete toric varieties

Complex Variables 2009-03-27 v2 Algebraic Geometry

Abstract

We extend the usual projective Abel-Radon transform to the larger context of a smooth complete toric variety X. We define and study toric concavity attached to an algebraic splitting vector bundle on X and we prove a toric version of the Abel-inverse theorem.

Keywords

Cite

@article{arxiv.0705.0247,
  title  = {Concavity, Abel-transform and the Abel-inverse theorem in smooth complete toric varieties},
  author = {Martin Weimann},
  journal= {arXiv preprint arXiv:0705.0247},
  year   = {2009}
}

Comments

27 pages. New version (modified introduction)